On regularization and error estimates for non-homogeneous backward Cauchy problem
โ Scribed by M. Denche; A. Abdessemed
- Book ID
- 113423309
- Publisher
- Elsevier
- Year
- 2012
- Tongue
- English
- Weight
- 403 KB
- Volume
- 18
- Category
- Article
- ISSN
- 1319-5166
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๐ SIMILAR VOLUMES
## Abstract The nonโcharacteristic Cauchy problem for the heat equation __u__~__xx__~(__x__,__t__) = __u__~1~(__x__,__t__), 0 โฉฝ __x__ โฉฝ 1, โ โ < __t__ < โ, __u__(0,__t__) = ฯ(__t__), __u__~__x__~(0, __t__) = ฯ(__t__), โ โ < __t__ < โ is regularizรจd when approximate expressions for ฯ and ฯ are given
## Abstract In this paper we shall consider some necessary and sufficient conditions for wellโposedness of second order hyperbolic equations with nonโregular coefficients with respect to time. We will derive some optimal regularities for wellโposedness from the intensity of singularity to the coeff